LOS ANGELES – After getting burned by Michael Jackson’s ex-wife Debbie Rowe on the witness stand, prosecutors ordered the LAPD to find out if Jacko had arranged a quid pro quo with her, The Post has learned.

Rowe has been locked in a custody feud with Jacko, who has sole custody of their kids, Paris, 7, and Prince Michael, 8, ever since she surrendered parental rights in 2001.

But in April, at Jackson’s child-molestation trial, Rowe described him as a wonderful father.

That triggered the DA’s demand for a probe – but L.A. Detective Federico Sicard said last week that he uncovered no double-dealing by Rowe.

“[Prosecutors] thought that she had been bribed by the defendant, but there wasn’t [any proof],” he said.

Not that Sicard hadn’t had his own suspicions.

“At the beginning, she was going to testify for the prosecution, but when she was on the stand, she gave testimony for the defense . . . To me, it was very suspicious,” he said.

Jurors, who cleared Jackson last month, said they noticed Rowe’s role reversal after she testified that he was “generous to a fault” and “great with kids.”

“I think she wanted to see her kids,” said juror Michael Stevens. “She’d do anything in her power to see her kids, including defending [Jackson].”